X+(x+2)+(x+4)+(x+6)4x+12=212

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Solution for X+(x+2)+(x+4)+(x+6)4x+12=212 equation:


Simplifying
X + (x + 2) + (x + 4) + (x + 6) * 4x + 12 = 212

Reorder the terms:
X + (2 + x) + (x + 4) + (x + 6) * 4x + 12 = 212

Remove parenthesis around (2 + x)
X + 2 + x + (x + 4) + (x + 6) * 4x + 12 = 212

Reorder the terms:
X + 2 + x + (4 + x) + (x + 6) * 4x + 12 = 212

Remove parenthesis around (4 + x)
X + 2 + x + 4 + x + (x + 6) * 4x + 12 = 212

Reorder the terms:
X + 2 + x + 4 + x + (6 + x) * 4x + 12 = 212

Reorder the terms for easier multiplication:
X + 2 + x + 4 + x + 4x(6 + x) + 12 = 212
X + 2 + x + 4 + x + (6 * 4x + x * 4x) + 12 = 212
X + 2 + x + 4 + x + (24x + 4x2) + 12 = 212

Reorder the terms:
2 + 4 + 12 + X + x + x + 24x + 4x2 = 212

Combine like terms: 2 + 4 = 6
6 + 12 + X + x + x + 24x + 4x2 = 212

Combine like terms: 6 + 12 = 18
18 + X + x + x + 24x + 4x2 = 212

Combine like terms: x + x = 2x
18 + X + 2x + 24x + 4x2 = 212

Combine like terms: 2x + 24x = 26x
18 + X + 26x + 4x2 = 212

Solving
18 + X + 26x + 4x2 = 212

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + X + 26x + -18 + 4x2 = 212 + -18

Reorder the terms:
18 + -18 + X + 26x + 4x2 = 212 + -18

Combine like terms: 18 + -18 = 0
0 + X + 26x + 4x2 = 212 + -18
X + 26x + 4x2 = 212 + -18

Combine like terms: 212 + -18 = 194
X + 26x + 4x2 = 194

Add '-26x' to each side of the equation.
X + 26x + -26x + 4x2 = 194 + -26x

Combine like terms: 26x + -26x = 0
X + 0 + 4x2 = 194 + -26x
X + 4x2 = 194 + -26x

Add '-4x2' to each side of the equation.
X + 4x2 + -4x2 = 194 + -26x + -4x2

Combine like terms: 4x2 + -4x2 = 0
X + 0 = 194 + -26x + -4x2
X = 194 + -26x + -4x2

Simplifying
X = 194 + -26x + -4x2

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